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The frequency of electrical oscillation in an L.C. circuit is given by f = 1 / (2π√LC). If L = 2L and C = 4C, calculate the new frequency f'.

1. f / √2
2. f × √2
3. f / 2
4. f × 2

Correct answer: f / √2

Solution

The frequency of an LC circuit is given by f = 1 / (2π√LC). When L becomes 2L and C becomes 4C, the new frequency f' = 1 / (2π√(2L × 4C)) = 1 / (2π√8LC) = f / √2.

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